Wow, a whole lot of opinions here, thanks so much everyone.
As I expected it's a pretty even response, which tells me it will be difficult for me to make a bad choice, assuming that the final rifle fits me well.
Along that line, I had an opportunity to should the Tikka T3 this past weekend and was impressed by it's weight and the smoothness of the bolt.
I shouldered the Remmy 700 in varmint stock form, beastly heavy, not really my cup of tea.
I shouldered the Remmy 700 in the 'bone collectors edition' stock, much better then the varmint.
I shouldered the Edge/Axis. Felt ok, I was not impressed with the bolt, it took a lot of force for me to open/close the bolt... I would lift the bolt, and it wouldn't lift all the way open. I had to smack it open hard or else it would catch on that point and not fully open and would not slide.
I shouldered a Savage 10 in a varmint/target stock of sorts. Very heavy like the Remmy but felt a bit better balanced.
This was all at my local Dick's. Hopefully I'll get to hit up BassPro this weekend and see what I can find there.
It looks like the .243 is leading my cartridge debate currently, followed closely by the following this this order 7mm-08, .270, .308, .260R (because of availability)